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Finding the Fourth Proportional to 259,680.70, 389,573.70 and 147,414.70

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Solution

The fourth proportional to 259,680.70, 389,573.70 and 147,414.70 is: 221,151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,680.70 : 389,573.70 = 147,414.70 : x
  2. Step 2: Convert to fraction form
    259,680.70/389,573.70 = 147,414.70/x
  3. Step 3: Cross multiply
    259,680.70x = 389,573.70 × 147,414.70
  4. Step 4: Simplify right side
    259,680.70x = 57,428,890,113.39
  5. Step 5: Solve for x
    x = 57,428,890,113.39/259,680.70
  6. Step 6: Final answer
    x = 221,151.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.